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Find the coordinates of the point on ...

Find the coordinates of the point on the curve `y^2=3-4x` where tangent is parallel to the line `2x+y-2=0` .

Text Solution

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The correct Answer is:
`((1)/(2),1)`
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Knowledge Check

  • The co-ordinates of the point of the curve y=x-(4)/(x) , where the tangent is parallel to the line y=2x is

    A
    (2,2)
    B
    (-2,-2)
    C
    `(pm 2,0)`
    D
    (0,2)

  • Find the point on the curve y=3x^2-4x+5 where the tangent line is parallel to the line y=-22x+7

    A
    (0,5)
    B
    (-1,12)
    C
    (2,25)
    D
    (-3,34)

  • The points on the curve x^2=3-2y , where the tangent is parallel to x+y=2, is

    A
    (1,1)
    B
    (-1,3)
    C
    `(sqrt3,0)`
    D
    (3,-3)

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    Find the point on the curve y=x^2-2x+3 , where the tangent is parallel to x-axis.

    Find the points on the curve y=x^3-2x^2-x at which the tangent lines are parallel to the line y=3x-2 .

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